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Simplifying 15(3x + -5) = 3(8x + 8) Reorder the terms: 15(-5 + 3x) = 3(8x + 8) (-5 * 15 + 3x * 15) = 3(8x + 8) (-75 + 45x) = 3(8x + 8) Reorder the terms: -75 + 45x = 3(8 + 8x) -75 + 45x = (8 * 3 + 8x * 3) -75 + 45x = (24 + 24x) Solving -75 + 45x = 24 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -75 + 45x + -24x = 24 + 24x + -24x Combine like terms: 45x + -24x = 21x -75 + 21x = 24 + 24x + -24x Combine like terms: 24x + -24x = 0 -75 + 21x = 24 + 0 -75 + 21x = 24 Add '75' to each side of the equation. -75 + 75 + 21x = 24 + 75 Combine like terms: -75 + 75 = 0 0 + 21x = 24 + 75 21x = 24 + 75 Combine like terms: 24 + 75 = 99 21x = 99 Divide each side by '21'. x = 4.714285714 Simplifying x = 4.714285714
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